An algebraic characterization of holomorphic nondegeneracy for real algebraic hypersurfaces and its application to CR mappings

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We give a new algebraic characterization of holomorphic nondegeneracy for embedded real algebraic hypersurfaces in ℂN+1, N ≥ 1. We then use this criterion to prove the following result about real analyticity of smooth CR mappings : any smooth CR mapping H between a real analytic hypersurface and a rigid polynomial holomorphically nondegenerate hypersurface is real analytic, provided the map H is not totally degenerate in the sense of Baouendi and Rothschild.

Original languageEnglish
Pages (from-to)189-202
Number of pages14
JournalMathematische Zeitschrift
Volume231
Issue number1
DOIs
Publication statusPublished - May 1999

    Fingerprint

ASJC Scopus subject areas

  • Mathematics(all)

Cite this